Vijay recorded his fourth Test hundred and first overseas.
MS Dhoni scored his fifty in 64 balls and stitched an 81-run partnership with Vijay.
Indian captain MS Dhoni won the toss and elected to bat against England in the 1st Investec Test at the Trent Bridge in Nottingham.
Indian opener Shikhar Dhawan scored just 12 off 24 balls before being dismissed by England pacer James Anderson.
James Andreson exults after dismissing Dhawan.
England players celebrate after James Anderson dismissed Cheteshwar Pujara, who was caught by Ian Bell for 38.
Stuart Broad celebrates after getting rid of Virat Kohli, who was caught by Ian Bell for one run.
Virat Kohli leaves the field after losing his wicket to Broad.
Murali Vijay finished Day 1 unbeaten on 122 runs.
Indian opener Murali Vijay's 50 came up in 68 balls with 11 fours.